HILBERT'S 16TH PROBLEM FOR QUADRATIC SYSTEMS: NEW METHODS BASED ON A TRANSFORMATION TO THE LIENARD EQUATION
نویسندگان
چکیده
منابع مشابه
Hilbert's 16th Problem for Quadratic Systems: New Methods Based on a Transformation to the Lienard equation
Within last century the study of cycles of twodimensional quadratic systems was stimulated by 16th Hilbert’s problem and its different variants [Hilbert, 1902; Lloyd, 1988; Blows & Perko, 1994; Ilyashenko, 2002; Chen & Wang, 1979; Shi, 1980]. The development of asymptotical methods for investigation of cycles of quadratic systems is facilitated by the fractionally-quadratic transformations, whi...
متن کاملNew Methods Based on a Transformation to the Lienard Equation
Within last century the study of cycles of twodimensional quadratic systems was stimulated by 16th Hilbert’s problem and its different variants [Hilbert, 1902; Lloyd, 1988; Blows & Perko, 1994; Ilyashenko, 2002; Chen & Wang, 1979; Shi, 1980]. The development of asymptotical methods for investigation of cycles of quadratic systems is facilitated by the fractionally-quadratic transformations, whi...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2008
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127408020732